10392720 has 80 divisors (see below), whose sum is σ = 34706112. Its totient is φ = 2557440.

The previous prime is 10392709. The next prime is 10392727. The reversal of 10392720 is 2729301.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10392727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1455 + ... + 4785.

Almost surely, 2^10392720 is an apocalyptic number.

10392720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10392720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17353056).

10392720 is an abundant number, since it is smaller than the sum of its proper divisors (24313392).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10392720 is a wasteful number, since it uses less digits than its factorization.

10392720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3360 (or 3354 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 10392720 is about 3223.7741856402. The cubic root of 10392720 is about 218.2276330557.

The spelling of 10392720 in words is "ten million, three hundred ninety-two thousand, seven hundred twenty".